How do you factor a quadratic trinomial when a is not 1

👉Learn how to factor quadratics when the coefficient of the term with a squared variable is not 1. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression.

To factor a quadratic trinomial where the coefficient of the term with a squared variable is not 1, we find two expressions which when multiplied together gives the product of the constant term (the term with no variable) and the term with the squared variable and when the two expressions are added gives the term whose variable has no power. These two expressions obtained are used to replace the term whose variable has no power. The result is then factored by grouping them and factoring out the GCD.

There are other methods that can be used to achive this including the AC, Berry, Box, Grouping and mental technique. Each way will have it's benefits but it is also helpful to check your answer by multiplying your binomials to make sure they give the original trinomial

Timestamps:
0:00 Intro
1:27 Example #1
3:37 Example #2
7:38 Example #3
12:32 Example #4

Corrections:
8:57 I forgot the 40*3 as one of the factors.

Organized Videos:
✅Factor Quadratic Expressions
✅Factor Quadratic Expressions | Learn About
✅Factor Quadratic Expressions | GCF
✅Factor Quadratic Expressions | x^2+bx+c
✅Factor Quadratic Expressions | x^2+bx+C
✅Factor Quadratic Expressions | Difference of Two Squares
✅Factor Quadratic Expressions | Perfect Square
✅Factor Quadratic Expressions | ax^2+bx+c

Connect with me:

#quadratics #factoring #brianmclogan

[MrLunapayattention]

I'm 33 and just enrolled in community college. 15 years out of high school, this video saved me. I am SO bad at factoring, it just never really clicked. the lightbulb above my head finally flickered on while watching the square method. thank you!!!!

[zaratron]

This video is great, thanks for posting it! I wish all math professors watched it. If they did, when you the material but make small single mistake, you should still get a good grade instead of a F.

[logan__hite]

The thumbnail is literally the exact problem that was giving me trouble lmao thx for the cheat sheet (;

[Jay-ncwr]

Lol, this video is great. It just goes to show, how mistakes are made by everyone, even those who are good at what they do. Thanks for leaving those in. Also, I think you missed 40*3. Not that it matters at all. It's just one of the first I wrote down. This video was very helpful, thank you!

[drishv]

does the first method work for all polynomials if a is not 1?

[cain]

I heard what he said at the very end. "60 minutes". This frustration is how many students feel.

[reubennepo]

Love the vids, but hate the X method of factoring you use. Very confusing compared to even mental math